Question

Write an expression that is equivalent to two over three (4x + 9).

eight over three x + 6

eight over three x + 9

two over three x + 6

two over three x + 9

Answer 1

eight over three x+6.

Answer 2

eight over three x + 6

Explanation:

Let's rewrite the original equation as:

`(2)/(3)*(4x+9)`

Operate the equation using distributive propierty:

`(8x+18)/(3)`

Remember:

`(a+b)/(c) =(a)/(c) +(b)/(c)`

Hence:

`(8x+18)/(3)=(8x)/(3) +(18)/(3) =(8)/(3)x +6`

Finally we can conclude that
`(8)/(3)x +6` is equal to "eight over three x + 6"